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3 years ago

Use the information given to enter an equation in standard form.

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

6x - 5y = -5

Step-by-step explanation:

Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.

43 = 6/5(35) + b

43 = 42 + b

1 = b

Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.

y = 6/5x + 1

-6/5x + y = 1

6/5x - y = -1

6x - 5y = -5, and this is your final answer.

Let me know if you need a more in-depth explanation on any part of this!

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- 7.5 divided by - 2.5

amm1812

-7.5 / -2.5 = 3

------------

8 0

4 years ago

Correct Answers only please!

Tcecarenko [31]

Answer:

C. $97

Step-by-step explanation:

The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.

average wage for 15 days = (sum of wages for the 15 days)/15

The amount of wages during a number of days is the product of the average wage of those days and the number of days.

First 7 days:

average wage: $87

number of days: 7

total wages in first 7 days = 7 * $87/day = $609

Last 7 days:

average wage: $92

number of days: 7

total wages in last 7 days = 7 * $92/day = $644

8th day:

wages of the 8th day is unknown, so we let x = wages of the 8th day

total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)

total wages of 15 days = 609 + x + 644 = x + 1253

average wage for 15 days = (sum of wages for the 15 days)/15

average wage for 15 days = (x + 1253)/15

We are told the average for the 15 days is $90/day.

(x + 1253)/15 = 90

Multiply both sides by 15.

x + 1253 = 1350

Subtract 1253 from both sides.

x = 97

Answer: $97

3 0

3 years ago

A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

Lubov Fominskaja [6]

Answer:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

Step-by-step explanation:

For this case we have the following distribution given:

X 0 1 2 3 4 5 6

P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02

For this case we need to find first the expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And replacing we got:

$E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61$

Now we can find the second moment given by:

$E(X^2) =\sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97$

And the variance would be given by:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

8 0

4 years ago

It takes 300 newtons of force and a distance of 20 meters for a moving car to come to stop. How much work is a one n the cart?

IceJOKER [234]

Work done on cart
:

W
=
6000

J
Kinetic energy of cart
:

E
K
=
6000

J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300

N

⋅
20

m
⇒
W
=
300

kg

⋅

m s
−
2

⋅
20

m
⇒
W
=
300
⋅
20

kg

⋅

m
2

s
−
2
⇒
W
=
6000

kg

⋅

m
2

s
−
2
∴
W
=
6000

J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000

7 0

3 years ago

20 pounds of potatoes cost $8.00, How much does 1 pound cost?

quester [9]

Answer:

$0.40

Step-by-step explanation:

20 pounds = $8.00

1 pound = $8.00÷20

1 pound = $0.40

3 0

2 years ago

Read 2 more answers